Questions and Answers
Which of the following statements is true of chords? (Select all that apply)
Which of the following is a secant?
SV
Is triangle AXY inscribed in circle A?
False
Is triangle WSR inscribed in circle A?
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Which of the following is not a diameter?
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Select all of the chords:
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Which is a secant?
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A diameter of the sphere is:
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Which point lies on a tangent line?
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Select the graphic that depicts triangle ABC inscribed in sphere P.
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Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither (first graphic).
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Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither (second graphic).
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Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither (third graphic).
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Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither (fourth graphic).
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Select whether the triangle is inscribed in the circle, circumscribed about the circle, or neither (fifth graphic).
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Study Notes
Chords
- A chord divides a circle into two regions.
- A chord can sometimes be a diameter, representing the longest chord possible in a circle.
- A chord is defined as a line segment connecting two points on the circumference of a circle.
Secant
- A secant line intersects a circle at two points.
- Example of a secant from the provided context is represented by the segment CD.
Inscribed Triangles
- A triangle is inscribed in a circle if all vertices touch the circle’s circumference.
- Triangle AXY is not inscribed in circle A.
- Triangle WSR is inscribed in circle A.
Diameters
- The diameter is the longest chord in a circle, extending from one edge to the opposite through the center.
- Segment WT is identified as not being a diameter.
- Segment CT is noted as a diameter of the sphere.
Tangent Line
- A tangent line touches the circle at precisely one point.
- Point B is specified as lying on a tangent line.
Triangle Graphics
- Triangle ABC is confirmed to be inscribed in sphere P, with a relevant graphic link provided.
- Various triangle graphics are assessed:
- One triangle is inscribed in the circle.
- Another triangle is circumscribed about the circle, meaning it contains the circle within.
- Several triangles are indicated as neither inscribed nor circumscribed about the circle, reflecting diverse relationships with the circle.
Assessment of Triangles
- Visual assessments of triangles yield various conclusions on their geometric relationships with respective circles:
- Inscribed
- Circumscribed
- Neither classification is applied depending on the positioning of the triangle in relation to the circle.
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Description
Test your knowledge on chords and related concepts in this Geometry B quiz. Answer questions about the definitions and properties of chords, secants, and inscribed triangles. Perfect for reinforcing your understanding of circle geometry.
